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10011110101 is a prime number
BaseRepresentation
bin10010101001011010…
…10110101011010101
3221211200200002022121
421110231112223111
5131000321010401
64333220455541
7503041013626
oct112455265325
927750602277
1010011110101
114278013213
121b3484a5b1
13c370aa3b5
146ad815a4d
153d8d54ca1
hex254b56ad5

10011110101 has 2 divisors, whose sum is σ = 10011110102. Its totient is φ = 10011110100.

The previous prime is 10011110063. The next prime is 10011110117. The reversal of 10011110101 is 10101111001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5521976100 + 4489134001 = 74310^2 + 67001^2 .

It is a cyclic number.

It is not a de Polignac number, because 10011110101 - 213 = 10011101909 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10011110171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005555050 + 5005555051.

It is an arithmetic number, because the mean of its divisors is an integer number (5005555051).

Almost surely, 210011110101 is an apocalyptic number.

It is an amenable number.

10011110101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10011110101 is an equidigital number, since it uses as much as digits as its factorization.

10011110101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 10011110101 its reverse (10101111001), we get a palindrome (20112221102).

The spelling of 10011110101 in words is "ten billion, eleven million, one hundred ten thousand, one hundred one".